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53764471486100 = 22526783179540119
BaseRepresentation
bin11000011100110000001000…
…01110010111011010010100
321001100211111110101202212102
430032120010032113122110
524021334114200023400
6310203020205541232
714216232503201114
oct1416300416273224
9231324443352772
1053764471486100
1116149425576181
126043ab8874818
1323ccc7764c04b
14d3c3000a1044
1563380d5189d5
hex30e604397694

53764471486100 has 144 divisors (see below), whose sum is σ = 120506562086400. Its totient is φ = 20812604545920.

The previous prime is 53764471486091. The next prime is 53764471486111. The reversal of 53764471486100 is 168417446735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99271841 + ... + 99811959.

It is an arithmetic number, because the mean of its divisors is an integer number (836851125600).

Almost surely, 253764471486100 is an apocalyptic number.

53764471486100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53764471486100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60253281043200).

53764471486100 is an abundant number, since it is smaller than the sum of its proper divisors (66742090600300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53764471486100 is a wasteful number, since it uses less digits than its factorization.

53764471486100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540462 (or 540455 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 53764471486100 in words is "fifty-three trillion, seven hundred sixty-four billion, four hundred seventy-one million, four hundred eighty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 83 100 134 166 179 268 332 335 358 415 670 716 830 895 1340 1660 1675 1790 2075 3350 3580 4150 4475 5561 6700 8300 8950 11122 11993 14857 17900 22244 23986 27805 29714 47972 55610 59428 59965 74285 111220 119930 139025 148570 239860 278050 297140 299825 371425 540119 556100 599650 742850 995419 1080238 1199300 1485700 1990838 2160476 2700595 3981676 4977095 5401190 9954190 10802380 13502975 19908380 24885475 27005950 36187973 44829877 49770950 54011900 72375946 89659754 96681301 99541900 144751892 179319508 180939865 193362602 224149385 361879730 386725204 448298770 483406505 723759460 896597540 904699325 966813010 1120746925 1809398650 1933626020 2241493850 2417032525 3003601759 3618797300 4482987700 4834065050 6007203518 6477647167 8024547983 9668130100 12014407036 12955294334 15018008795 16049095966 25910588668 30036017590 32098191932 32388235835 40122739915 60072035180 64776471670 75090043975 80245479830 129552943340 150180087950 160490959660 161941179175 200613699575 300360175900 323882358350 401227399150 537644714861 647764716700 802454798300 1075289429722 2150578859444 2688223574305 5376447148610 10752894297220 13441117871525 26882235743050 53764471486100